Mathematical Modelling of Physical Systems

Softcover Nachdruck of the original 1. Auflage 2018
ISBN: 978-3-030-06912-4
Verlag: Springer International Publishing

Buch, Englisch, 505 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 785 g

Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

Zielgruppe

Research

Autoren/Hrsg.

Cessenat, Michel

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Mathematische Modellierung
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

1. Thermostructure.- 2. Classical Mechanics.- 3. Fluid mechanics modelling.- 4. Behavior Laws.- 5. Appendix.

Über Autor(innen)

Michel Cessenat is a mathematician at the Société de Mathématiques Appliquées et Industrielles and a former researcher at Center for Atomic Energy, France. He is the author of Mathematical Methods in Electromagnetism: Linear Theory and Applications (World Scientific, 1996) and a co-author of Méthodes Probabilistes pour les équations de la physique (Eyrolles, 1989). He has also made contributions to the work presented in the six-volume set Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray and Jacques-Louis Lions (Springer, 2000).